Question

Factorize a: 16(x + 3y)? + 24(x + 3y)(p+q) +9(p+q)?
b. (x + y)2 – 12(x + y)(z)+36z​

Answer 1

Answer:

a. (4x + 12y+ 3p + 3q)^2 ,b. ( x + y - 6z)^2

Step-by-step explanation:

a. Let (x + 3y) = a,

(p + q) =b

=16a + 24ab + 9b

=(4a)^2 + 2×4a×3b + (3b)^2

=(4a +3b)^

= (4x + 12y +3p + 3q)^2

b. let x + y = a,

z=z

= a^2 - 2×a×6z + (6z)^2

= (a - 6z)^2

= ( x + y - 6z)^2